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MicrosoftInternetExplorer4
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MicrosoftInternetExplorer4
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Where do the SM
universal flavor mass and mixing hierarchy patterns come from? At leading approximation (without free
external parameters) all known Standard Model flavor mass and mixing hierarchy
angles are of universal Bimaximal pattern (90, 90, 0)^o. They are in clear
analogy with the geometric direction angle hierarchies of a vector in the outer
euclidean 3-space. That analogy is remarkable because of the fundamental
inferences: 1) it provides a connection between the SM elementary particle
‘inner’ quantities and the ‘outer’ geometric ones, 2) the flavor hierarchy angle
cosine triads (0. 0. 1) obey the Pythagorean equation, while the same form
direction angle cosine triads (0. 0. 1) obey the euclidean 3-space symmetry
metric equation (at same leading approximation without external parameters);
the two equations for cosine hierarchy angles coincide with each other – a
basic physics regularity of the Standard Model flavor hierarchies, 3)
phenomenological unity of the pointed out two inner and outer hierarchies
explains fundamental physics enigma -- number three coincidence of SM particle
Generations and Dimensions of the outer 3-space.
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